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Multipole polarizability of a graded spherical particle

Author

Listed:
  • L. Dong
  • J. P. Huang
  • K. W. Yu
  • G. Q. Gu

Abstract

We have studied the multipole polarizability of a graded spherical particle in a nonuniform electric field, in which the conductivity can vary radially inside the particle. The main objective of this work is to access the effects of multipole interactions at small interparticle separations, which can be important in non-dilute suspensions of functionally graded materials. The nonuniform electric field arises either from that applied on the particle or from the local field of all other particles. We developed a differential effective multipole moment approximation (DEMMA) to compute the multipole moment of a graded spherical particle in a nonuniform external field. Moreover, we compare the DEMMA results with the exact results of the power-law graded profile and the agreement is excellent. The extension to anisotropic DEMMA will be studied in an Appendix. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • L. Dong & J. P. Huang & K. W. Yu & G. Q. Gu, 2005. "Multipole polarizability of a graded spherical particle," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 48(4), pages 439-444, December.
    • Handle: RePEc:spr:eurphb:v:48:y:2005:i:4:p:439-444
    DOI: 10.1140/epjb/e2005-00419-5
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